Locally Homogeneous Configurations of Uniform Elastic Bodies
Published In
Reports on Mathematical Physics
Document Type
Citation
Publication Date
6-1-1992
Abstract
This paper deals with one of the fundamental problems of the mathematical theory of inhemogeneities in simple elastic material bodies, namely the availability of local homogeneous configurations. Utilizing the original differential geometric approach of W. Noll and C.-C. Wang, adopted for our particular needs and restricted to the hyperelastic case, we develop a system of partial differential equations for the locally homogeneous material configurations. The existence and the form of solutions of this system are discussed by means of examples.
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DOI
10.1016/0034-4877(92)90023-T
Persistent Identifier
https://archives.pdx.edu/ds/psu/29912
Citation Details
Elżanowski, M., & Prishepionok, S. (1992). Locally homogeneous configurations of uniform elastic bodies. Reports on Mathematical Physics, 31(3), 329-340.